Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
338 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 117 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C11×#499 | C2 | semidirect |
| 3. #10622682 | C2 | semidirect |
| 5. #10622486 | C2 | semidirect |
| 7. #10622466 | C2 | semidirect |
| 8. #10622312 | C2 | semidirect |
| 67. #499 | D11 | semidirect |
| 128. C11 | #3177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623228 | 2 |
| C11×#499 | 2 |
| #10622682 | 2 |
| #10622500 | 2 |
| #10622486 | 2 |
| #10622481 | 2 |
| #10622466 | 2 |
| #10622312 | 2 |
| #10622302 | 2 |
| #3177 | 11 |